99929520 has 120 divisors (see below), whose sum is σ = 342853056. Its totient is φ = 26072064.

The previous prime is 99929513. The next prime is 99929527. The reversal of 99929520 is 2592999.

It is an interprime number because it is at equal distance from previous prime (99929513) and next prime (99929527).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (99929527) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32364 + ... + 35316.

Almost surely, 2^99929520 is an apocalyptic number.

99929520 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99929520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171426528).

99929520 is an abundant number, since it is smaller than the sum of its proper divisors (242923536).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

99929520 is a wasteful number, since it uses less digits than its factorization.

99929520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3019 (or 3010 counting only the distinct ones).

The product of its (nonzero) digits is 131220, while the sum is 45.

The square root of 99929520 is about 9996.4753788523. The cubic root of 99929520 is about 464.0498113389.

The spelling of 99929520 in words is "ninety-nine million, nine hundred twenty-nine thousand, five hundred twenty".